Pith Number

pith:YWGGIYI6

pith:2015:YWGGIYI6CKUPRTAP3AMDU23BNG

not attested not anchored not stored refs pending

Local Single Ring Theorem

Florent Benaych-Georges

arxiv:1501.07840 v4 · 2015-01-30 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWGGIYI6CKUPRTAP3AMDU23BNG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:16:21.825667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58c64611e12a8f8cc0fd8183a6b61698f167fcc363be1e5391f455587584634

Aliases

arxiv: 1501.07840 · arxiv_version: 1501.07840v4 · doi: 10.48550/arxiv.1501.07840 · pith_short_12: YWGGIYI6CKUP · pith_short_16: YWGGIYI6CKUPRTAP · pith_short_8: YWGGIYI6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YWGGIYI6CKUPRTAP3AMDU23BNG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c58c64611e12a8f8cc0fd8183a6b61698f167fcc363be1e5391f455587584634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc7987d1c647ad703b2a8cd3313248a67a88eb952b5788b3efe5cf6650b81485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-30T16:57:04Z",
    "title_canon_sha256": "b9e550de80ca71ac000c44252493bb6ddfd22205c29de2a27903c94976779699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07840",
    "kind": "arxiv",
    "version": 4
  }
}